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Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:
Assertion : If E and F are events such that P(E) = 1/4, P(F) = 1/2 and P(E and F) = 1/8, then P (E or F) is 5/8.
Reason : If A and B are independent, then P (A ∩ B) = P (A).
  • a)
    Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
  • b)
    Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
  • c)
    Assertion (A) is true but reason (R) is false.
  • d)
    Assertion (A) is false but reason (R) is true.
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Direction: In the Following Questions, A Statement of Assertion (A) I...
Assertion (A) is true but reason (R) is false.
P (E or F) = P (E ∪ F)
= P(E) + P(F) - P(E ∩ F)
= 1/4 + 1/2 - 1/8 = 5/8
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Most Upvoted Answer
Direction: In the Following Questions, A Statement of Assertion (A) I...
Assertion: If E and F are events such that P(E) = 1/4, P(F) = 1/2, and P(E and F) = 1/8, then P(E or F) is 5/8.

Reason: If A and B are independent, then P(A ∩ B) = P(A).

To understand why the correct answer is option 'C', let's break down the problem step by step:

Step 1: Calculate the probability of E or F (P(E or F)) using the formula:
P(E or F) = P(E) + P(F) - P(E and F)

Given:
P(E) = 1/4
P(F) = 1/2
P(E and F) = 1/8

Substituting these values into the formula:
P(E or F) = 1/4 + 1/2 - 1/8
= 2/8 + 4/8 - 1/8
= 5/8

Step 2: Determine whether the reason provided is correct.

The reason states that if A and B are independent, then P(A ∩ B) = P(A). However, the reason is not applicable to the given situation because the independence of events E and F is not mentioned. Therefore, the reason is false.

Conclusion:
Since the assertion is true (P(E or F) = 5/8) but the reason is false, the correct answer is option 'C' - Assertion (A) is true but reason (R) is false.
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Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If E and F are events such that P(E) = 1/4, P(F) = 1/2 and P(E and F) = 1/8, then P (E or F) is 5/8.Reason : If A and B are independent, then P (A ∩ B) = P (A).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'C'. Can you explain this answer?
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Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If E and F are events such that P(E) = 1/4, P(F) = 1/2 and P(E and F) = 1/8, then P (E or F) is 5/8.Reason : If A and B are independent, then P (A ∩ B) = P (A).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'C'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If E and F are events such that P(E) = 1/4, P(F) = 1/2 and P(E and F) = 1/8, then P (E or F) is 5/8.Reason : If A and B are independent, then P (A ∩ B) = P (A).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If E and F are events such that P(E) = 1/4, P(F) = 1/2 and P(E and F) = 1/8, then P (E or F) is 5/8.Reason : If A and B are independent, then P (A ∩ B) = P (A).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'C'. Can you explain this answer?.
Solutions for Direction: In the Following Questions, A Statement of Assertion (A) Is Followed by A Statement of Reason (R). Mark The Correct Choice As:Assertion : If E and F are events such that P(E) = 1/4, P(F) = 1/2 and P(E and F) = 1/8, then P (E or F) is 5/8.Reason : If A and B are independent, then P (A ∩ B) = P (A).a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
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